2x²+2x+1 / 8x³+ 4x²+2x+5 divide the polynomial
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Group" the polynomial into two parts:
8x3+4x2−2x−1
Factor out a common term from either section.
4x2(2x+1)−1(2x+1)
Notice that a 2x+1 term can be factored out.
(2x+1)(4x2−1)
Notice that 4x2−1 is a difference of squares.
(2x+1)(2x+1)(2x−1)
(2x+1)2(2x−1)
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